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中文摘要：
利用n维模糊集截集理论和模糊点与n维模糊集的邻属关系,并利用n＋1-值Lukasiewicz蕴涵,首先给出（α,β）-n维凸模糊集的定义,然后对（∈,∈）-n维凸模糊集和（∈,∈∨q）-n维凸模糊集这两种非常有意义的n维凸模糊集进行了讨论,最后得到了一些有意义的结果。这将为n维凸模糊分析理论研究打下基础。
英文摘要：
Based on the concept of cut sets on n-dimensional fuzzy sets and the neighborhood relations between a fuzzy point and a n-dimensional fuzzy set, the definitions of （α,β）--n-dimensional convex fuzzy sets are given by applying the n＋1-valued Lukasiewicz implication. The discussion shows that the significant ones are the（∈,∈∨q）-n-dimensional convex fuzzy sets and（∈,∈∨q）--n-dimensional convex fuzzy sets and their properties are obtained. The results establish foundations for the n-dimensional convex fuzzy analysis theories.
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Modelling and optimization of a continuous stirred tank reactor with feedback control and pulse feed
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